pullback-forward dynamics for damped schrödinger equations with time-dependent forcing
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ID: 224187
2018
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Abstract
This paper deals with pullback dynamics for the weakly damped Schrödinger equation with time-dependent forcing. An increasing, bounded, and pullback absorbing set is obtained if the forcing and its time-derivative are backward uniformly integrable. Also, we obtain the forward absorption, which is only used to deduce the backward compact-decay decomposition according to high and low frequencies. Based on a new existence theorem of a backward compact pullback attractor, we show that the nonautonomous Schrödinger equation has a pullback attractor which is compact in the past. The method of energy, high-low frequency decomposition, Sobolev embedding, and interpolation are quite involved in calculating a priori pullback or forward bound.
| Reference Key |
she2018discretepullback-forward
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|---|---|
| Authors | ;Lianbing She;Yangrong Li;Renhai Wang |
| Journal | Journal of the American Heart Association |
| Year | 2018 |
| DOI |
10.1155/2018/2139792
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| URL | |
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